2005 Avalanche transmittion over heating light came on going down the road it jerk when takeing off slow

When you say it "jerks," this description could fit several actual symptoms. If by "jerks" you mean the engine misfires, it could be caused by the need for a major tune-up (including plug wires and distributor cap), or it could be a problem with fuel delivery, contaminated fuel, or defective components in the fuel system.
I assume the CHECK ENGINE light is on (and has probably been illuminated for some time now). Begin by doing a readout of the stored codes, and use the results to begin your diagnosis.
If by "jerks" you mean the transmission is slipping (engine revs but car slows down or doesn't accelerate), you have a transmission issue. If the transmission fluid and strainer/filter have not been replaced within the past 5 years or 50,000 miles, have a complete transmission service performed.
If by "jerks" you mean that the steering wheel wobbles or pulls, you have a problem with the front suspension.
If by "jerks" you mean that the car shudders or pulls when you apply the brakes, you need brake work.
I think I covered all of the "jerks." ;)

Sounds like the ECU. Have you read the diagnostics codes yet? Do you have a check engine light?

Plugs ,wires,coils.

Gas Filter Clogged ?

Check Fuel Pressure at motor with a gauge

Take the gauge on the road trip-tie to a wiper
so you can see it

Any check lights on?

Your loosing fuel or air metering data

Have Crank Sensor checked with a scope

Check Exhaust Converter

Check Fuel trim on road test

the jerking may be due to uneven braking on either side of the car it may be that a piston is stuck. need to take car off the road remove tyres then brakecalipers a good indication that a piston is stuck is when you disconnect the brake lines and pull pads/caliper of the rotor the piston will be extremely hard to move

Could you please contact me 0624871880

There are harnesses that go inbetween the existing radio and the car that allow for an ipod hookup. The cost of these is a little high. I opted for a new radio for my 2005 Malibu for this reason, but I still needed a adpter harness because the cars computer doesn't just allow you to replace the radio with althing you want.
So for these harnesses, you pull of the connector of the back of the radio and install this new one. Check ebay for this.

Hello.I will be glad to help you out.

Choose which of the 3 buttons you wish to use, on the car.

Take the remote transmitter, depress the actuator button, and continue to hold it until advised to release.

Depress the button, on the car, of your choice, and hold it down until advised to release.

Hold the garage door actuator (while holding the actuator button down) above the car's 3 buttons.

Rotate the door transmitter until the red light above the 3 buttons starts to flash slowly.

Stop moving the remote around when the light flashes slow.

Within several seconds, the same light n the car will now flash rapidly.

Release the car's button, release the transmitter button.

Verify that the door now operates..

Clean your throttle body and maybe even your mass air flow (if you use a K&N filter).

take it back to your serviceman ,may need to drain fuel tank